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Least distance on Riemannian Manifold

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#optimization #riemannian-geometry
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Diagonable Kernels over a Riemannian Surface

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#fourier-series #riemannian-geometry
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What does $ds^2$ mean and how does it specify a metric?

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#riemannian-geometry
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What is the norm of the gradient of $f$ in normal coordinate?

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#analysis #differential-geometry #riemannian-geometry
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What are all isometry classes of the 2-sphere?

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#reference-request #differential-geometry #soft-question #riemannian-geometry
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Are the Ricci and Scalar curvatures the only "interesting" tensors coming from the Riemannian curvature tensor?

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#differential-geometry #representation-theory #riemannian-geometry #tensors #curvature
119
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The standard connection in a regular surface is symmetric

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#differential-geometry #riemannian-geometry
3.4k
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Riemannian Geometry book to complement General Relativity course?

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#reference-request #riemannian-geometry #general-relativity
500
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Riemannian metric. Help with notation.

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#differential-geometry #riemannian-geometry
900
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Manifold without conjugate points and positive curvature

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#reference-request #riemannian-geometry
759
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Is there a non-variational derivation of Snell's law from Fermat's principle?

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#geometry #physics #riemannian-geometry
1k
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Constant Riemannian Metric

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#riemannian-geometry
1.2k
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Divergence theorem on Hyperbolic space

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#differential-geometry #differential-topology #riemannian-geometry
92
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$|\Delta f|^2$ in local coordinates

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#partial-differential-equations #riemannian-geometry
983
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why is the spectrum of the schrödinger operator discrete?

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#riemannian-geometry #spectral-theory

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